                     \||||||||||||||||||/
                   --- Welcome to Maude ---
                     /||||||||||||||||||\
            Maude alpha96b built: Nov 15 2012 18:03:52
            Copyright 1997-2011 SRI International
                   Wed Mar 20 11:29:49 2013
==========================================
rewrite in TEST-SUBSTITUTION : (/\ x . /\ y . x y z)[x / z] .
rewrites: 82 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ '$1 . /\ y . '$1 y x
==========================================
rewrite in TEST-SUBSTITUTION : (/\ u . /\ x . /\ y . x y z)[x / z] .
rewrites: 96 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ u . /\ '$2 . /\ y . '$2 y x
==========================================
rewrite in TEST-SUBSTITUTION : (/\ x . x z) (/\ x . /\ y . x y z)[x / z] .
rewrites: 123 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: (/\ '$3 . '$3 x) (/\ '$4 . /\ y . '$4 y x)
==========================================
rewrite in COMBINATORY-LOGIC : S K K x .
rewrites: 2 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: x
==========================================
rewrite in COMBINATORY-LOGIC : S K K (S K K) .
rewrites: 2 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: S K K
==========================================
rewrite in DE-BRUIJN : (/\ {0}) x .
rewrites: 6 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: x
==========================================
rewrite in DE-BRUIJN : (/\ /\ {0}) x .
rewrites: 13 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0}
==========================================
rewrite in DE-BRUIJN : (/\ /\ {1}) x .
rewrites: 12 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ x
==========================================
rewrite in DE-BRUIJN : (/\ /\ x {1} y) x .
rewrites: 20 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ x x y
==========================================
rewrite in DE-BRUIJN-OPTIMIZED : (/\ {0}) x .
rewrites: 2 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: x
==========================================
rewrite in DE-BRUIJN-OPTIMIZED : (/\ /\ {0}) x .
rewrites: 6 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0}
==========================================
rewrite in DE-BRUIJN-OPTIMIZED : (/\ /\ {1}) x .
rewrites: 5 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ x
==========================================
rewrite in DE-BRUIJN-OPTIMIZED : (/\ /\ x {1} y) x .
rewrites: 9 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ x x y
==========================================
rewrite in LAMBDA : (/\ x . x) y .
rewrites: 6 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: y
==========================================
rewrite in LAMBDA : (/\ x . x) (/\ x . x) .
rewrites: 6 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0}
==========================================
rewrite in LAMBDA : (/\ f . (/\ x . f x) y) g .
rewrites: 36 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: g y
==========================================
rewrite in LAMBDA : (/\ z . z z) (/\ x . /\ y . x y) .
rewrites: 46 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ (/\ /\ {1} {0}) {0}
==========================================
rewrite in LAMBDA : (/\ z . /\ a . /\ b . z a b) (a b) .
rewrites: 60 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ /\ a b {1} {0}
==========================================
rewrite in LAMBDA : /\ x . x x .
rewrites: 8 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0} {0}
==========================================
rewrite in LAMBDA : /\ x . f (x x) .
rewrites: 12 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ f ({0} {0})
==========================================
rewrite in CURRYING : (/\ x y z . x y z) a b .
rewrites: 68 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ a b {0}
==========================================
rewrite in CURRYING : (/\ x y z . x y z) (/\ x y z . x y z) a b .
rewrites: 156 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ a b {0}
==========================================
rewrite in CURRYING : (/\ x y z . (/\ x y z . x y z) y z) (/\ x y z . x y z) a b .
rewrites: 297 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ a b {0}
==========================================
rewrite in CHURCH-BOOLEANS : and $true $false .
rewrites: 172 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ /\ {0}
==========================================
rewrite in CHURCH-BOOLEANS : and (and x y) z .
rewrites: 187 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: x y (/\ /\ {0}) z (/\ /\ {0})
==========================================
rewrite in CHURCH-BOOLEANS : and x (and y z) .
rewrites: 145 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: x (y z (/\ /\ {0})) (/\ /\ {0})
==========================================
rewrite in CHURCH-BOOLEANS : and (and $true y) z .
rewrites: 250 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: y z (/\ /\ {0})
==========================================
rewrite in CHURCH-BOOLEANS : and $true (and y z) .
rewrites: 286 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: y z (/\ /\ {0})
==========================================
rewrite in CHURCH-BOOLEANS : and (and $false y) z .
rewrites: 259 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ /\ {0}
==========================================
rewrite in CHURCH-BOOLEANS : and $false (and y z) .
rewrites: 214 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ /\ {0}
==========================================
rewrite in CHURCH-BOOLEANS : and (and $false $true) $false t f .
rewrites: 381 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: f
==========================================
rewrite in CHURCH-BOOLEANS : and $false (and $true $false) t f .
rewrites: 284 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: f
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display($5) .
rewrites: 184 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(5)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(succ $5) .
rewrites: 445 in 3ms cpu (0ms real) (133513 rewrites/second)
result Var: $(6)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(succ' $5) .
rewrites: 416 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(6)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(succ (/\ x y . x)) .
rewrites: 190 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ $(1) {0}
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(succ' (/\ x y . x)) .
rewrites: 194 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: $(1) (/\ $(1) {0})
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(plus $5 $5) .
rewrites: 1006 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(10)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(plus $0 $5) .
rewrites: 568 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(5)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(plus (succ $5) $4) .
rewrites: 1540 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(10)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(succ (plus $5 $4)) .
rewrites: 1395 in 3ms cpu (0ms real) (418541 rewrites/second)
result Var: $(10)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(mult $5 $5) .
rewrites: 3642 in 3ms cpu (4ms real) (1092381 rewrites/second)
result Var: $(25)
==========================================
rewrite in DISPLAY-CHURCH-NUMERALS : display(power $5 $3) .
rewrites: 65432 in 2679ms cpu (2680ms real) (24416 rewrites/second)
result Var: $(125)
==========================================
rewrite in CHURCH-PAIRS : 1st (pair a b) .
rewrites: 152 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: a
==========================================
rewrite in CHURCH-PAIRS : 2nd (pair a b) .
rewrites: 153 in 0ms cpu (0ms real) (~ rewrites/second)
result Id: b
==========================================
rewrite in CHURCH-PAIRS : pair (1st p) (2nd p) .
rewrites: 206 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0} ((/\ {0} (/\ /\ {1})) p) ((/\ {0} (/\ /\ {0})) p)
==========================================
rewrite in CHURCH-PAIRS : 1st (pair (1st p) (2nd p)) .
rewrites: 446 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: p (/\ /\ {1})
==========================================
rewrite in CHURCH-PAIRS : 1st p .
rewrites: 36 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: p (/\ /\ {1})
==========================================
rewrite in CHURCH-PAIRS : 2nd (pair (1st p) (2nd p)) .
rewrites: 396 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: p (/\ /\ {0})
==========================================
rewrite in CHURCH-PAIRS : 2nd p .
rewrites: 36 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: p (/\ /\ {0})
==========================================
rewrite in CHURCH-FIBONACCI : display(fibo $4) .
rewrites: 180881 in 63ms cpu (62ms real) (2856211 rewrites/second)
result Var: $(3)
==========================================
rewrite in CHURCH-PREDECESSOR : display(pred $0) .
rewrites: 1276 in 0ms cpu (0ms real) (~ rewrites/second)
result Var: $(0)
==========================================
rewrite in CHURCH-PREDECESSOR : display(pred $1) .
rewrites: 4474 in 3ms cpu (1ms real) (1342334 rewrites/second)
result Var: $(0)
==========================================
rewrite in CHURCH-PREDECESSOR : display(pred $5) .
rewrites: 128622 in 46ms cpu (44ms real) (2756343 rewrites/second)
result Var: $(4)
==========================================
rewrite in CHURCH-SUBTRACTION : display(sub $5 $3) .
rewrites: 517188 in 173ms cpu (174ms real) (2983972 rewrites/second)
result Var: $(2)
==========================================
rewrite in CHURCH-SUBTRACTION : display(sub $3 $5) .
rewrites: 187666 in 66ms cpu (64ms real) (2815187 rewrites/second)
result Var: $(0)
==========================================
rewrite in FIXED-POINT-COMBINATORS : Y-name .
rewrites: 41 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ (/\ {1} ({0} {0})) (/\ {1} ({0} {0}))
==========================================
rewrite in FIXED-POINT-COMBINATORS : Y-value .
rewrites: 71 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ (/\ {1} (/\ {1} {1} {0})) (/\ {1} (/\ {1} {1} {0}))
==========================================
rewrite in FIXED-POINT-COMBINATORS : Y-Turing .
rewrites: 63 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0} ((/\ /\ {0} ({1} {1} {0})) (/\ /\ {0} ({1} {1} {0})) {0})
==========================================
rewrite in FIXED-POINT-COMBINATORS : Y-Turing-value .
rewrites: 121 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0} (/\ (/\ /\ {0} (/\ {2} {2} {1} {0})) (/\ /\ {0} (/\ {2} {2} {1} {
    0})) {1} {0})
==========================================
rewrite in FIXED-POINT-COMBINATORS : Y-Klop .
rewrites: 1350739 in 423ms cpu (424ms real) (3190928 rewrites/second)
result Exp: /\ {0} ((/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8}
    {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24}
    {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21}
    {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({
    7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {
    23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25}
    {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25}
    {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8}
    {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24}
    {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21}
    {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({
    7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {
    23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25}
    {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25}
    {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8}
    {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24}
    {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21}
    {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({
    7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {
    23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25}
    {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25}
    {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8}
    {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24}
    {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21}
    {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({
    7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {
    23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25}
    {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25}
    {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8}
    {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24}
    {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21}
    {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({
    7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {
    23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25}
    {20} {17} {3} {21} {22} {10} {11} {17} {12} {7} {23} {11} {13} {24} {17} {12} {25}
    {7} {11} {0})) (/\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\ /\
    /\ /\ /\ /\ {0} ({7} {18} {17} {8} {17} {8} {25} {20} {17} {3} {21} {22} {10} {11}
    {17} {12} {7} {23} {11} {13} {24} {17} {12} {25} {7} {11} {0})) {0})
==========================================
rewrite in FACTORIALS : display(factorial-untypable $2) .
rewrites: 1209136 in 419ms cpu (419ms real) (2879080 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-name $2) .
rewrites: 1332351 in 453ms cpu (451ms real) (2939199 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-value $2) .
rewrites: 1442723 in 489ms cpu (491ms real) (2944524 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-Turing $2) .
rewrites: 803995 in 266ms cpu (268ms real) (3015181 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-Turing-value $2) .
rewrites: 872322 in 289ms cpu (290ms real) (3008203 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-Klop $2) .
rewrites: 23834922 in 7726ms cpu (7724ms real) (3084962 rewrites/second)
result Var: $(2)
==========================================
rewrite in FACTORIALS : display(factorial-fix $2) .
rewrites: 788801 in 269ms cpu (270ms real) (2921669 rewrites/second)
result Var: $(2)
==========================================
rewrite in LAMBDA-WITH-BUILTINS : (/\ x . /\ y . + x (y 7)) 5 (/\ y . * y 3) .
rewrites: 71 in 0ms cpu (0ms real) (~ rewrites/second)
result Int: 26
==========================================
rewrite in LAMBDA-WITH-BUILTINS : (/\ x y . if x (* (y x) x) (/\ y . y x)) 3 (/\ x . *
    2 x) .
rewrites: 221 in 0ms cpu (0ms real) (~ rewrites/second)
result Int: 18
==========================================
rewrite in LAMBDA-WITH-BUILTINS : (/\ x y . if x (* (y x) x) (/\ y . y x)) 0 (/\ x . *
    2 x) .
rewrites: 182 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: /\ {0} 0
==========================================
rewrite in LAMBDA-WITH-BUILTINS : (/\ x y . if x (* (y x) x) (/\ y . y x)) x (/\ x . *
    2 x) .
rewrites: 145 in 0ms cpu (0ms real) (~ rewrites/second)
result Exp: if x (* (* 2 x) x) (/\ {0} x)
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-untypable 10 .
rewrites: 9608 in 13ms cpu (12ms real) (720672 rewrites/second)
result Int: 3628800
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-name 10 .
rewrites: 11912 in 13ms cpu (14ms real) (893422 rewrites/second)
result Int: 3628800
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-value 10 .
rewrites: 16758 in 16ms cpu (17ms real) (1005580 rewrites/second)
result Int: 3628800
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-Turing 10 .
rewrites: 6661 in 3ms cpu (5ms real) (1998499 rewrites/second)
result Int: 3628800
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-Turing-value 10 .
rewrites: 9982 in 6ms cpu (7ms real) (1497225 rewrites/second)
result Int: 3628800
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-Klop 2 .
rewrites: 4149495 in 1359ms cpu (1768ms real) (3051298 rewrites/second)
result Int: 2
==========================================
rewrite in FACTORIALS-WITH-BUILTINS : factorial-fix 10 .
rewrites: 8083 in 9ms cpu (12ms real) (808380 rewrites/second)
result Int: 3628800
Bye.
